Streamline diffusion method for treating coupling equations of hyperbolic scalar conservation laws

DOI10.1016/j.mcm.2006.05.004zbMath1133.65076OpenAlexW2077194259MaRDI QIDQ2471615

Mohammad Izadi

Publication date: 22 February 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2006.05.004

zbMATH Keywords

convergenceGalerkin methodfinite element methodnumerical exampleshyperbolic conservation lawsa priori error estimatesstreamline diffusion methodbasic stability estimatecoupling equations

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (7)

Applications of the Newton-Raphson method in a SDFEM for inviscid Burgers equation ⋮ A posteriori error estimates for the coupling equations of scalar conservation laws ⋮ A Taylor-Chebyshev approximation technique to solve the \(1D\) and \(2D\) nonlinear Burgers equations ⋮ A discontinuous finite element approximation to singular Lane-Emden type equations ⋮ A discontinuous finite difference streamline diffusion method for time-dependent hyperbolic problems ⋮ Mathematics and numerics for balance partial differential-algebraic equations (PDAEs) ⋮ NUMERICAL COUPLING OF TWO SCALAR CONSERVATION LAWS BY A RKDG METHOD

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